10.6092/ISSN.1973-2201/881
Frosini, B. V.
B. V.
Frosini
On the definition and some justification of the Likelihood Principle
Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
2013
PDF Document
2013
Statistica; Vol 51, No 4 (1991)
Two points have been raised about the Likelihood Principle (LP). The first relates to the definition of LP: it has been shown that one of the two available definitions is hardly acceptable outside a strictly Bayesian context. The cue for the second issue is taken from Birnbaum's proof (and other similar proofs) that the LP - in its strong version - is implied by other more fundamental principles, which most statisticians tend to accept; some of these principles or axioms, after subjection to severe critical discussion, have been recognized as inadequate for general agreement. Moreover, it is shown that Birnbaum's proof - as well as others with the same demonstration structure - is logically false.
Statistica; Vol 51, No 4 (1991)